Question

simplify 3÷√8+1÷√2
please solve this

Answer 1

OK I SOLVE FOR U..SEE IN THE PIC.
It is helpful or not??

Answer 2

Answer:

$\frac{3}{\sqrt{8}}+\frac{1}{\sqrt{2}}=\frac{5\sqrt{2}}{4}$

Step-by-step explanation:

Simplify the following:

$\frac{3}{\sqrt{8}}+\frac{1}{\sqrt{2}}$

We know that √8 = 2√2

$\implies\frac{3}{2\sqrt{2}}+\frac{1}{\sqrt{2}}$

$\implies\frac{3}{2\sqrt{2}}+\frac{2}{2\sqrt{2}}$

$\implies\frac{3+2}{2\sqrt{2}}$

$\implies\frac{5}{2\sqrt{2}}$

Now we rationalize the denominator to further simplify

$\implies\frac{5}{2\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}$

$\implies\frac{5\sqrt{2}}{2\times2}$

$\implies\frac{5\sqrt{2}}{4}$

Therefore, $\frac{3}{\sqrt{8}}+\frac{1}{\sqrt{2}}=\frac{5\sqrt{2}}{4}$